This preview shows page 1. Sign up to view the full content.
Unformatted text preview: x = 2 cos t , y =1 + sin t , for 0 t 3 / 2. (a) (10 points) At what point(s) ( x and y values) does the curve have a vertical tangent? (b) (10 points) Eliminate the parameter and sketch the curve. 5. (15 points each) Evaluate each integral. (You dont have to combine numerical fractions in the answer.) (a) Z xe 2 x dx (b) Z 1 3 / 2 15 x 3 p 1x 2 dx 6. (10 points each) Evaluate each integral, or show that it is divergent. (a) Z 3 1 1 x1 dx (b) Z 1 ln x x dx d dx sin1 x = 1 1x 2 d dx tan1 x = 1 1 + x 2 1sin 2 = cos 2 1 + tan 2 = sec 2 sin 2 = 1 2 ( 1cos 2 ) cos 2 = 1 2 ( 1 + cos 2 )...
View
Full
Document
This note was uploaded on 04/03/2009 for the course MATH 242 taught by Professor Wang during the Fall '08 term at University of Delaware.
 Fall '08
 wang
 Math, Calculus

Click to edit the document details